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164206364 = 2275864513
BaseRepresentation
bin10011100100110…
…01011100011100
3102102222112210012
421302121130130
5314014100424
624143302352
74032505520
oct1162313434
9372875705
10164206364
1184765743
1246baa9b8
132803423a
1417b45d80
15e638b0e
hex9c9971c

164206364 has 12 divisors (see below), whose sum is σ = 328412784. Its totient is φ = 70374144.

The previous prime is 164206351. The next prime is 164206369. The reversal of 164206364 is 463602461.

164206364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

164206364 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 164206364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164206369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2932229 + ... + 2932284.

It is an arithmetic number, because the mean of its divisors is an integer number (27367732).

Almost surely, 2164206364 is an apocalyptic number.

164206364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164206364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164206364 is a wasteful number, since it uses less digits than its factorization.

164206364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864524 (or 5864522 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 164206364 is about 12814.3031023930. The cubic root of 164206364 is about 547.5998597416.

The spelling of 164206364 in words is "one hundred sixty-four million, two hundred six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 5864513 11729026 23458052 41051591 82103182 164206364